Answer:
7x+3=2x-6 #4
Step-by-step explanation:
Answer:B
Step-by-step explanation:
how to solve this problem by finding x
Answer:
X=140
Step-by-step explanation:
Firstly, any Quadrilateral has a total sum of its angle equal to 360 degrees
The attachment you are showing us shows that we already know two angles
(70)&(60) degrees. I am assuming the line DC is a tangent, so angle ADC must be 90 degrees since a full angle on a tangent is equal to 180 degrees and there is 90 from the other side (180-90=90). Now we know 3 angles and what you have to do is find X so that when you add them all up they make a sum of 360.
X+70+60+90=360
X=360-70-60-90
X=140
The solution to an inequality is graphed on the number
line.
What is another way to represent this solution set?
C OF
O {xx <4.5)
O {x| 4.5}
{x | x > 4.5)
O {x|x 2 4.5}
-5
0
1
2
3
4 5
Save and Exit
Next
SUOMI
Mark this and return
From the given number line, we have inequality as {x|x≤4.5}. Therefore, option B is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Inequalities on a number line allow us to visualize the values that are represented by an inequality. To represent inequalities on a number line we show the range of numbers by drawing a straight line and indicating the end points with either an open circle or a closed circle.
From the given number line, we have inequality as {x|x≤4.5}
Therefore, option B is the correct answer.
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Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
Solve the first variable in one of the equations, then substitute the result into the other equation.
(-1,8/3)
x=-1, y=8/3
Answer:
c
Step-by-step explanation:
if you plug in all the numbers for the variables c works out
I need help with this question
Answer:
b
Step-by-step explanation:
1. What is 50% of $736?
Answer:
$368
Step-by-step explanation:
What is 50% of $736?
50% = \(\frac{50}{100}\) = \(\frac{1}{2}\)
We Take
736 x \(\frac{1}{2}\) = $368
So, 50% of $736 is $368.
A truck holds 48,000 pounds of sand.
How many tons are in 48,000 pounds?
Answer:
24
Step-by-step explanation:
dont exaclty have an explanations - its just the calculations
the atomic mass unit is presently based on assigning an exact integral mass (in amu) to an isotope of an hydrogen oxygen sodium carbon helium
a. hydrogen
b. oxygen
c. sodium
d. carbon
e. helium
Answer:
The reference atomic mass is carbon-12 when calculating atomic masses.
Step-by-step explanation:
The one-twelfth mass of an atom of carbon-12 is known as an atomic mass unit.
Because no other nuclide has a mass that is exactly a whole number in this scale except for carbon-12.
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An ANOVA procedure is applied to data obtained from four distinct populations. The samples, each comprised of 15 observations, were taken from the four populations. The degrees of freedom for the numerator and denominator for the critical value of F are ________.
The degrees of freedom for the numerator and denominator for the critical value of F are _3 and 56, respectively_.
The samples, each comprised of 15 observations, were taken from the four populations.
How to find the degrees of freedom?The determine the degrees of freedom for the numerator and denominator for the critical value of F is given below:
k = 4
n = 15
Total degree of freedom;
= nk - 1
= 59
For numerator, it is
= k -1
= 4 - 1
= 3
For denominator it is
= T - (k -1 )
= 59 - 3
= 56
The degrees of freedom for the numerator and denominator for the critical value of F are _3 and 56, respectively_.
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(pls answer quickly, i only have 15 minutes) Sayid is testing the properties of substance A. It feels slick and soapy. Substance A is most likely _____.
A. an acid
B. a base
C. a neutral substance
To rent a jet ski it cost a flat fee of $80 for the entire day
How much dose it cost for 2 hours of use?
Step-by-step explanation:
To rent a jet ski it cost a flat fee of $80 for the entire day. How much does it cost for 2 hours of use?
there are 24 hours in a day
80/24 = 3.333333 per hour
for two hours it costs:
3.33333 * 2 = $6.67 (rounded)
N = 16 - (3 + 2) I dont know what this is.
Answer:N=11
Step-by-step explanation: 16-5 is 11, and that is equal to N
Wally and drake both wanted to see the moons of jupiter. they each wanted to buy a telescope that sold for $62.48. together they had a total of $95. how much more money did they have left to save?
The amount of money Wally and Drake have left to save is equal to $29.96 if each one of them wanted to buy a telescope.
The amount of money left to be saved can be calculated by using an algebraic expression.
First, we determine the cost of two telescopes if each one of them wanted to buy a telescope to see the moons of Jupiter.
As the cost of one telescope is $62.48, the cost of two telescopes will be;
62.48 + 62.48 = 124.96
An algebraic expression can be given as;
95 + x = 124.96
where x is the money left to be saved.
Solving for x;
x = 124.96 - 95
x = 29.96
Hence, $29.96 is the amount left to be saved for each one of them to buy a microscope.
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Alicia drove at a constant speed and traveled 183 miles in 3 hours. How many miles would Alicia travel in 5 hours at the same speed?
Answer:
The answer is 305 miles.
Step-by-step explanation:
We can solve this using proportion.
\( \frac{183 \: miles}{3 \: hours} = \frac{x}{5 \: hours} \\ \\ \frac{3x}{3} = \frac{915}{3} \\ \\ x = 305\)
Answer:
671
Step-by-step explanation:
on kahn acadamy
What are the coordinates of images 2? For B P Q
Recall that a reflection over a line y=k transforms the point (x,y) into:
\((x,k-(y-k))=(x,2k-y)\text{.}\)Therefore the given sequence of transformations will change point (x,y) into:
\((x,y)\rightarrow(x+3,y-3)\rightarrow(x+3,2(-2)-(y-3))=(x+3,-1-y)\text{.}\)Answer:
Since the original coordinates are P(-4,3), Q(0,3), and B(-3,-1), the coordinates of image 2 are:
\(\begin{gathered} P^{\doubleprime}(-4+3,-1-3)=P^{\doubleprime}(-1,-4), \\ Q^{\doubleprime}(0+3,-1-3)=Q^{\doubleprime}(3,-4), \\ B^{\doubleprime}(-3+3,-1-(-1))=B^{\doubleprime}(0,0)\text{.} \end{gathered}\)Let f(x) = 1/x-3 and g(x) = 2/x + 3
Then (f o g)(x) = (g o f)(x) =
The composition of two functions f and g is denoted by f o g. It is defined as follows:
(f o g)(x) = f(g(x))
In other words, f o g is the function that results from applying f to the output of g.
In this case, we have:
(f o g)(x) = f(g(x)) = f(2/x+3) = 1/(2/x+3)-3 = (x-9)/(2x+9)
(g o f)(x) = g(f(x)) = g(1/x-3) = 2/(1/x-3)+3 = (2x-6)/(x-9)
As you can see, (f o g)(x) ≠ (g o f)(x). This is because the order in which the functions are applied matters.
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Economic growth typically results in rising standards of living and prosperity. However, it also invites negative externalities such as environmental degradation due to over- exploiting of natural resources. As such, the world is confronted with the dilemma of growth versus environmental sustainability. Developing a model explaining the disparity of economic development concentrating on drivers such as tourism sustainability, technological innovation and the quality of leadership would be important not only to facilitate future economic growth in developing countries, but also to the environmental and sociocultural sustainability which ultimately lead to global sustainable development. The present research objective is to develop and test framework of sustainable development by considering the elements of tourism, technological innovation, and national leadership. This further would facilitate growth, environmental and socio-cultural sustainability. Understanding the integration of these dimensions would enable the building of a Sustainable Development Framework (SDF) that would provide better insight in promoting the SDGS agenda. Ultimately, growth and environmental sustainability can be achieved which will benefit the society, the economy, and nations and of course for future sustainable policy recommendation. Based on the issue above, you are required to propose relevant econometric approaches with the aims to test sustainable development by considering the elements of tourism, technological innovation, and national leadership. Question 1 [10 marks] [CLO2] Based on the scenario above, a. Propose an appropriate model specification based on the scenario above. [4 marks] used in the [4 marks] [2 marks] b. Justify the selection of the dependent and independent variables model. c. Justify the selection of the sample period.
According to the given information, the sample period should be from 2010-2020.
a) Model specification
The model specification based on the scenario above is as follows:
SDF= f(T, TI, NL)
Where: SDF= Sustainable Development Framework
T= Tourism
TI= Technological innovation
NL= National leadership
b) Justification for the selection of the dependent and independent variables model:
Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.
Independent variables:
The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.
The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.
c) Justification for the selection of the sample period:
The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.
Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.
The sample period should be from 2010-2020.
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The points A ( 5, -2), B (2, 7), and C (-10, 4) are in the xy- plane. Find:
a. the equation of the line passing through A and parallel to BC,
b. the equation of the line passing through B, perpendicular to AC,
c. the point of intersection of the lines in (i) and (ii) above.
a. Finding equation of line passing through A and parallel to BC.
\(\quad\)
Since our line is parallel to BC, slope of the line is,
\(\longrightarrow\rm{m_a=\dfrac{y_B-y_C}{x_B-x_C}}\)
\(\longrightarrow\rm{m_a=\dfrac{7-4}{2-(-10)}}\)
\(\longrightarrow\rm{m_a=\dfrac{1}{4}}\)
Since our line passes through A, the equation will be,
\(\longrightarrow\rm{y-y_A=m_a(x-x_A)}\)
\(\longrightarrow\rm{y-(-2)=\dfrac{1}{4}(x-5)}\)
\(\longrightarrow\rm{\underline{\underline{x-4y-13=0}}\quad\quad\dots(1)}\)
\(\quad\)
b. Finding equation of line passing through B and perpendicular to AC.
\(\quad\)
Since our line is perpendicular to AC, slope of the line is,
\(\longrightarrow\rm{m_b=-\dfrac{x_A-x_C}{y_A-y_C}}\)
\(\longrightarrow\rm{m_b=-\dfrac{5-(-10)}{-2-4}}\)
\(\longrightarrow\rm{m_b=\dfrac{5}{2}}\)
Since our line passes through B, the equation will be,
\(\longrightarrow\rm{y-y_B=m_b(x-x_B)}\)
\(\longrightarrow\rm{y-7=\dfrac{5}{2}(x-2)}\)
\(\longrightarrow\rm{\underline{\underline{5x-2y+4=0}}\quad\quad\dots(2)}\)
\(\quad\)
c. Finding point of intersection of the above two lines.
\(\quad\)
From (1),
\(\longrightarrow\rm{x=4y+13}\)
Putting this value of x in (2),
\(\longrightarrow\rm{5(4y+13)-2y+4=0}\)
\(\longrightarrow\rm{18y+69=0}\)
\(\longrightarrow\rm{y=-\dfrac{23}{6}}\)
Then,
\(\longrightarrow\rm{x=4\left(-\dfrac{23}{6}\right)+13}\)
\(\longrightarrow\rm{x=-\dfrac{7}{3}}\)
Hence the intersection point is \(\bf{\left(-\dfrac{7}{3},\ -\dfrac{23}{6}\right)}.\)
Let f(x) = ax3 . Calculate f(x+h)−f(x) h for h 6= 0. After you obtain your answer, evaluate it again by setting h = 0.
To calculate \(\frac{{f(x+h) - f(x)}}{h}\) for the function \(f(x) = ax^3\), we need to substitute the expressions into the formula and simplify.
\(f(x+h) = a(x+h)^3\\\\f(x) = ax^3\)
Now we can calculate the difference:
\(f(x+h) - f(x) = a(x+h)^3 - ax^3\)
Expanding \((x+h)^3\):
\(f(x+h) - f(x) = a(x^3 + 3x^2h + 3xh^2 + h^3) - ax^3\)
Simplifying:
\(f(x+h) - f(x) = ax^3 + 3ax^2h + 3axh^2 + ah^3 - ax^3\)
The terms \(ax^3\) cancel out:
\(f(x+h) - f(x) = 3ax^2h + 3axh^2 + ah^3\)
Now we can divide by h:
\(\frac{{f(x+h) - f(x)}}{h} = \frac{{3ax^2h + 3axh^2 + ah^3}}{h}\)
Canceling out the common factor of h:
\(\frac{{f(x+h) - f(x)}}{h} = 3ax^2 + 3axh + ah^2\)
Now, we evaluate this expression again by setting h = 0:
\(\frac{{f(x+h) - f(x)}}{h} = 3ax^2 + 3ax(0) + a(0)^2\)
\(= 3ax^2\)
Therefore, when we evaluate the expression by setting h = 0, we get \(3ax^2\).
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Which is the better buy on hamburger meat?
2 lbs. for $4.50
3 lbs. for $6.90
Click on the correct answer.
Answer:
2 lbs. for $4.50
Step-by-step explanation:
Do a ratio
2 : 4.50
You want to see how much it cost per pound, so divide them by 2
2 ÷ 2 : 4.50 ÷ 2
1 : 2.25
So per pound, the hamburger will cost $ 2.25
________________________________________________________
3 : 6.90
You want to see how much it cost per pound, so all you need to do is divide them by 3
3 ÷ 3 : 6.90 ÷ 3
1 : 2.3
So for the first one, it cost 2.25 per pound, and for the second one, it cost 2.3 per pound....the one that is better will be 2.25 because it cost 5 cents less than the second one
Hope this helped!
Have a supercalifragilisticexpialidocious day!
30. the intelligence quotient (iq) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 15. what is the probability we could select a sample of 50 adults and find that the mean of this sample is between 98 and 103. * a. 0.3264 b. 0.9428 c. 0.4702 d. 0.7471
The probability of selecting a sample of 50 adults and finding that the mean of this sample is between 98 and 103 is approx b). 0.9428.
The intelligence quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 15. The standard deviation of the mean of a sample of 50 adults can be calculated as the population standard deviation divided by the square root of the sample size, or 15/√50 = 1.58.
Using a standard normal distribution table, the probability of selecting a sample of 50 adults and finding that the mean of this sample is between 98 and 103 can be calculated as the area under the standard normal curve between the z-scores corresponding to 98 and 103. These z-scores can be calculated using the formula z = (x - mean) / standard deviation, where x is the value of interest and mean is the population mean. The z-score for 98 is (98 - 100) / 1.58 = -1.27, and the z-score for 103 is (103 - 100) / 1.58 = 2.53.
The area under the standard normal curve between -1.27 and 2.53 can be found using a standard normal distribution table or a calculator with normal distribution functions. The probability of selecting a sample of 50 adults and finding that the mean of this sample is between 98 and 103 is approximately 0.9228, which is closest to the answer choice b. 0.9428.
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Kendra owns a restaurant. She charges $3.00 for 2 eggs and one piece of toast, and $1.80 for one egg and one piece of toast. How much does Kendra charge for an egg
The required answer is Kendra charges $1.50 for one egg.
To find out how much Kendra charges for an egg, compare the prices of the different options she offers.
According to the information provided, Kendra charges $3.00 for 2 eggs and one piece of toast.
This means that the cost of two eggs is $3.00.
Now, calculate the cost of one egg by dividing the total cost of two eggs by 2.
$3.00 / 2 = $1.50
Therefore, Kendra charges $1.50 for one egg.
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How you used the limit definition of a derivative to calculate the instantaneous acceleration. use your results to explain why the limit definition of a derivative is tru
The instantaneous acceleration at any time t is given by 10t. The limit definition of a derivative is true because it allows us to find the instantaneous rate of change of a function at a specific point.
To use the limit definition of a derivative to calculate instantaneous acceleration, we need to find the derivative of the velocity function with respect to time. The derivative of velocity gives us acceleration.
The limit definition of a derivative is given by:
f'(x) = lim (h→0) [f(x+h) - f(x)] / h
To calculate instantaneous acceleration, we substitute the velocity function, v(t), into the limit definition. Let's say v(t) = 5t^2.
Using the limit definition, we have:
a(t) = lim (h→0) [v(t+h) - v(t)] / h
Substituting v(t) = 5t^2, we get:
a(t) = lim (h→0) [5(t+h)^2 - 5t^2] / h
Expanding and simplifying:
a(t) = lim (h→0) [10th + 5h^2] / h
Now, we can cancel out the h term:
a(t) = lim (h→0) 10t + 5h
Taking the limit as h approaches 0, we get:
a(t) = 10t
Therefore, the instantaneous acceleration at any time t is given by 10t.
The limit definition of a derivative is true because it allows us to find the instantaneous rate of change of a function at a specific point. By taking the limit as the change in input approaches zero, we are able to approximate the exact rate of change at that point. This concept is fundamental to calculus and is used in various applications such as physics, engineering, and economics.
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Which of the following functions are solutions of the differential equation y″−4y′−21y=0? A. y(x)=e7xy(x)=e7x
B. y(x)=0y(x)=0
C. y(x)=exy(x)=ex
D. y(x)=e−3xy(x)=e−3x
E. y(x)=e−xy(x)=e−x
F. y(x)=−3xy(x)=−3x
G. y(x)=7xy(x)=7x
The functions that are solutions of the differential equation y" - 4y' -21y = 0 is -Option E: y(x) = \(e^{-3x}\) Option F: y(x) = \(e^{7x}\)
Differential equation definitionA differential equation is any equation that has one or more terms and one or more derivatives of the dependent variable with respect to the independent variable.
The given differential equation is y" - 4y' -21 = 0
This can be written as characteristic equation -
m² - 4m - 21 = 0
m² - 7m + 3m - 21 = 0
m(m - 7) + 3(m - 7) = 0
(m + 3)(m - 7) = 0
m = -3 and m = 7
The general solution is given by
\(y = (C1 + xC2)e^{-3x}\)
\(y = C1 e^{-3x} + C2 xe^{-3x}\)
\(y = (C1 + xC2)e^{7x}\)
\(y = C1 e^{7x} + C2 xe^{7x}\)
So, now the solutions are y = \(e^{-3x}\), \(y = xe^{-3x}\), \(y = e^{7x}\)and \(y = xe^{7x}.\)
Therefore, the solutions are y = \(e^{-3x}\) and \(y = e^{7x}\)
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A sailboat costs $26,232. You pay 10% down and amortize the rest with equal monthly payments over a 8-year period. If you must pay 7.5% compounded monthly.what is your monthly payment? How much interest will you pay?Monthly payments: $(Round to two decimal places.)Interest: $(Round to two decimal places.)
Step 1- Write out the Present Value of Annuity formula:
\(PV=P\times\frac{1-(1+\frac{r}{n})^{-t\times n}}{\frac{r}{n}}\)Where
\(\begin{gathered} PV=\text{ the present value} \\ P=\text{ the periodic payment} \\ n=\text{ the number of payments in a year} \\ r=\text{ annual interest rate} \end{gathered}\)Step 2- Write out the given values and substitute them into the formula:
\(\begin{gathered} PV=\$26232(1-0.1)=\$26232\times0.9=\$23608.80 \\ n=12 \\ r=0.075 \end{gathered}\)Substituting the values into the formula, we have:
\(23608.80=P\times\frac{1-(1+\frac{0.075}{12})^{-8\times12}}{\frac{0.075}{12}}\)Therefore,
\(23608.80=72.0260P\)Dividing both sides by 72.0260, we have:
\(P=\$327.78\)Hence, the monthly payment is $327.78.
The total amount T paid is given by:
\(T=\$327.78\times8\times12=\$31466.88\)Hence, the interest I is given by:
\(I=31466.88-23608.80=\$7858.08\)Therefore, the monthly payment is $327.78 and the interest paid is $7858.08
SUV was detected exceeding the posted speed limit of 60 km/hr, how many kilometers would she have traveled if she was driving 80 km/hr for half an hour
SUV was detected exceeding the posted speed limit of 60 km/hr, 40 kilometers would she have traveled if she was driving 80 km/hr for half an hour.
Given that an SUV was detected exceeding the posted speed limit of 60 km/hr. We need to calculate how many kilometers would she have traveled if she was driving 80 km/hr for half an hour.
Using the formula,
s = v.t
Where s = Distance
v = Velocity
t = time
In this scenario, the velocity of the SUV is given as 80 km/hrt = 0.5 hrs
The distance she will travel at 80 km/hr in 0.5 hrs will be; s = 80 x 0.5s = 40 km
Therefore, the SUV would have traveled 40 kilometers if she was driving 80 km/hr for half an hour.
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Which ordered pair could be the y intercept of a function?
Answer:
C) (0,1)
Step-by-step explanation:
What is a y-intercept?
A y-intercept is a value when x=0, so up and down the y-axis of a graph.
Given this, we can see that x must be equal to 0 to have a y-intercept number.
The first option, (1,1), is located in the first quadrant, making this incorrect.
The second option, (1,0) is when y=0, so the point would be on the x-axis, making this also incorrect.
The third option, (0,1), is when x=0, meaning that the point would be on the y-axis, making this the correct option.
Hope this helps! :)
A unit of pressure called "feet of liquid substance- Y " (or ft−Y ) is equivalent to the pressure that will exist one ft below the surface of Y 's surface. If the conversion factor for this unit is 1 atm=41.5ft−Y,… - ... the density of the liquid substance Y is
The density of the liquid substance Y can be determined by using the conversion factor 1 atm = 41.5 ft⁻Y and the density of the liquid substance Y is approximately 19.68 ft⁻Y.
Conversion factor: 1 atm = 41.5 ft⁻Y
The "feet of liquid substance - Y" unit is defined as the pressure equivalent to the pressure that exists one foot below the surface of substance Y. In other words, if we go one foot below the surface of substance Y, the pressure will be equivalent to 1 ft⁻Y.
Since pressure is directly related to the density of a liquid, we can equate the pressure in units of atm to the pressure in units of ft⁻Y.
Therefore, we can say:
1 atm = 41.5 ft⁻Y
From this equation, we can conclude that the conversion factor for pressure between atm and ft⁻Y is 41.5.
we can calculate the conversion factor from "feet of liquid substance - Y" (ft⁻Y) to atm.
To convert from ft⁻Y to atm, we can use the inverse of the given conversion factor:
Conversion factor: 1 atm = 41.5 ft⁻Y
Taking the reciprocal of both sides:
1 / 1 atm = 1 / 41.5 ft⁻Y
Simplifying the equation:
1 atm⁻¹ = 0.024096 ft⁻Y⁻¹
Now, to find the density of the liquid substance Y in units of ft⁻Y, we can multiply the given density in g/cm³ by the conversion factor:
Density in ft⁻Y = 816.55 g/cm³ * 0.024096 ft⁻Y⁻¹
Calculating the density in ft⁻Y:
Density in ft⁻Y ≈ 19.68 ft⁻Y
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Change 90 euros to pounds
Answer:
The exact amount of British pounds would be 81.769
Step-by-step explanation:
Answer:
81.769 is the answer
Step-by-step explanation:
write 101 in binary form
Answer:
1100101
Step-by-step explanation:
1. What name is given to the shaded region?
a. sector b. segment c. arc d. radii
2. The line ST is called..........
a. an arc b. a chord c. a diameter d. a radius
Answer:
1.sector 2. chords
Step-by-step explanation:
chord of a circle is a straight line segment whose endpoints both lie on a circular arc. ... More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse. A chord that passes through a circle's center point is the circle's diameter.